$x^2+y^2+2 x-6 y-6=0$ and $x^2+y^2-6 x-2 y+k=0$ are two intersecting circles and $k$ is not an integer. If $\theta$ is the angle between the two circles and $\cos \theta=\frac{-5}{24}$, then $k=$
- A$\frac{6}{5}$
- B$\frac{74}{9}$
- C$\frac{37}{3}$
- D$\frac{53}{7}$
✓ Correct answer: B
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